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Finding the Third Proportional to 46.51 and 72.35

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Solution

The third proportional to 46.51 and 72.35 is: 112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.51 : 72.35 = 72.35 : x
  2. Step 2: Convert to fraction form
    46.51/72.35 = 72.35/x
  3. Step 3: Cross multiply
    46.51x = 72.35 × 72.35
  4. Step 4: Simplify right side
    46.51x = 5,234.75
  5. Step 5: Solve for x
    x = 5,234.75/46.51
  6. Step 6: Final answer
    x = 112.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.